MATHQUOTES
 

Topic: conjectures

Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena.

TOPICS: philosophy, nature, conjectures

It is the first duty of a hypothesis to be intelligible.

TOPICS: research, conjectures

In mathematics the art of proposing a question must be held of higher value than solving it.

TOPICS: problems, conjectures

SOURCE: A thesis defended at Cantor’s doctoral dissertation.

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